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To solve the LCM of 180 and 252, factor them in their prime factors...

180 = 2 * 2 * 3 * 3 * 5 = 22 * 32 * 51
252 = 2 * 2 * 3 * 3 * 7 = 22 * 32 * 71

... then multiply the prime factors with the highest power together...

22 * 32 * 51 * 71 = 1260

180 and 252 is a simple example which does not completely illustrate the priniciple involved. A better example might be 48 and 180...

48 = 2 * 2 * 2 * 2 * 3 = 24 * 31
180 = 2 * 2 * 3 * 3 * 5 = 22 * 32 * 51

... so the LCM would be 24 * 32 * 51 = 720

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15y ago

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